Question

Solve each of the following quadratic equations

3x=0.5x^2


0=5x^2-2x+6

Answer 1

Question 1

`3x=0.5x^(2)\\\\6x=x^(2) \\ \\ x^(2)-6x=0 \\ \\ x(x-6)=0 \\ \\ \boxed{x=0, 6}`

Question 2

`0=5x^(2)-2x+6 \\ \\ x=\frac{2 \pm \sqrt{(-2)^(2)-4(5)(6)}}{2} \\ \\ x=(2 \pm √(-116))/(10) \\ \\ x=(2 \pm 2i√(29))/(10) \\ \\ \boxed{x=(1 \pm i√(29))/(5)}`